Geometrical Perspective on Spin-Lattice Density-Functional Theory
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910657652195328 |
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| author | Penz, Markus van Leeuwen, Robert |
| author_facet | Penz, Markus van Leeuwen, Robert |
| contents | A recently developed viewpoint on the fundamentals of density-functional theory for finite interacting spin-lattice systems that centers around the notion of degeneracy regions is presented. It allows for an entirely geometrical description of the Hohenberg-Kohn theorem and v-representability. The phenomena receive exemplification by an Anderson impurity model and other small-lattice examples. The case of adiabatic change and the time-dependent setting are examined as well. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_20260 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometrical Perspective on Spin-Lattice Density-Functional Theory Penz, Markus van Leeuwen, Robert Materials Science Chemical Physics Quantum Physics A recently developed viewpoint on the fundamentals of density-functional theory for finite interacting spin-lattice systems that centers around the notion of degeneracy regions is presented. It allows for an entirely geometrical description of the Hohenberg-Kohn theorem and v-representability. The phenomena receive exemplification by an Anderson impurity model and other small-lattice examples. The case of adiabatic change and the time-dependent setting are examined as well. |
| title | Geometrical Perspective on Spin-Lattice Density-Functional Theory |
| topic | Materials Science Chemical Physics Quantum Physics |
| url | https://arxiv.org/abs/2407.20260 |